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Finding the Third Proportional to 26,673 and 40,217

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Solution

The third proportional to 26,673 and 40,217 is: 60,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,673 : 40,217 = 40,217 : x
  2. Step 2: Convert to fraction form
    26,673/40,217 = 40,217/x
  3. Step 3: Cross multiply
    26,673x = 40,217 × 40,217
  4. Step 4: Simplify right side
    26,673x = 1,617,407,089
  5. Step 5: Solve for x
    x = 1,617,407,089/26,673
  6. Step 6: Final answer
    x = 60,638.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.